5013446400 has 540 divisors, whose sum is σ = 19550962200. Its totient is φ = 1264066560.

The previous prime is 5013446329. The next prime is 5013446401. The reversal of 5013446400 is 46443105.

5013446400 is a `hidden beast` number, since 5 + 0 + 13 + 4 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013446401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9849346 + ... + 9849854.

Almost surely, 2^5013446400 is an apocalyptic number.

5013446400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5013446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775481100).

5013446400 is an abundant number, since it is smaller than the sum of its proper divisors (14537515800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5013446400 is a wasteful number, since it uses less digits than its factorization.

5013446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5013446400 is about 70805.6946862327. The cubic root of 5013446400 is about 1711.5074426602.

Adding to 5013446400 its reverse (46443105), we get a palindrome (5059889505).

The spelling of 5013446400 in words is "five billion, thirteen million, four hundred forty-six thousand, four hundred".